How do you simplify square roots. I know it deals with splitting it or something...
how would I simplify it?
345 = 3x 115 (so 3 is a prime factor)
115 = 5x 23 (so 5 is a prime factor)
23 = 23x 1 (so 23 is a prime factor)
As no prime factor occurs more than once cannot be simplified. Your answer is fully simplified
If, for example you had that could be simplified because 32 has prime factors of 2^5 which means you can take out two lots of two (ie: 4) and leave the sqrt2 behind:
In general it's because of the rules saying and